102712 has 16 divisors (see below), whose sum is σ = 198360. Its totient is φ = 49824.

The previous prime is 102701. The next prime is 102761. The reversal of 102712 is 217201.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 102692 and 102701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 469.

2¹⁰²⁷¹² is an apocalyptic number.

It is an amenable number.

102712 is a deficient number, since it is larger than the sum of its proper divisors (95648).

102712 is a wasteful number, since it uses less digits than its factorization.

102712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 102712 is about 320.4871292267. The cubic root of 102712 is about 46.8317509235.

Adding to 102712 its reverse (217201), we get a palindrome (319913).

The spelling of 102712 in words is "one hundred two thousand, seven hundred twelve", and thus it is an iban number.